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Math Help - Line Segment

  1. #1
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    Line Segment

    Solve for x.

    Given BD = 7/(2x+4) and AE = 9x - 4. Assume B is the midpoint of AC and D is the midpoint of CE.

    Do I equate 7/(2x + 4) to 9x - 4 and solve for x?





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  2. #2
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    Quote Originally Posted by magentarita View Post
    Solve for x.

    Given BD = 7/(2x+4) and AE = 9x - 4. Assume B is the midpoint of AC and D is the midpoint of CE.

    Do I equate 7/(2x + 4) to 9x - 4 and solve for x? No





    Draw a rough sketch of the triangle (see attachment)

    Because \overline{BD} \parallel \overline{AE} you know that 2\cdot |\overline{BD}| =  | \overline{AE} |

    Therefore solve for x:

    2\cdot \left(\dfrac7{2x+4} \right) = 9x-4
    Attached Thumbnails Attached Thumbnails Line Segment-mittenparallele.png  
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  3. #3
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    yes...

    Quote Originally Posted by earboth View Post
    Draw a rough sketch of the triangle (see attachment)

    Because \overline{BD} \parallel \overline{AE} you know that 2\cdot |\overline{BD}| = | \overline{AE} |

    Therefore solve for x:

    2\cdot \left(\dfrac7{2x+4} \right) = 9x-4
    That's exactly what I did.

    Thanks
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